From past experience, a company has found that in a carton of transistors, 92% contain no defective transistors, 3% contain one defective transistor, 3% contain two defective transistors, and 2% contain three defective transistors. xx p(x)p(x) 0 0.92 1 0.03 2 0.03 3 0.02 1) What is the probability that a carton has more that 2 defective transistors? P (x > 2) = (answer) 2) What is the probability that a carton will have between 1 and 3 defective transistors, inclusive? P (1 ≤x≤ 3) = (answer) 3) Calculate the mean, variance, and standard deviation for the defective transistors. μ= (answer) σ= (answer)

From past experience, a company has found that in a carton of transistors, 92% contain no defective transistors, 3% contain one defective transistor, 3% contain two defective transistors, and 2% contain three defective transistors. xx p(x)p(x) 0 0.92 1 0.03 2 0.03 3 0.02 1) What is the probability that a carton has more that 2 defective transistors? P (x > 2) = (answer) 2) What is the probability that a carton will have between 1 and 3 defective transistors, inclusive? P (1 ≤x≤ 3) = (answer) 3) Calculate the mean, variance, and standard deviation for the defective transistors. μ= (answer) σ= (answer)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

100%

xx	p(x)p(x)
0	0.92
1	0.03
2	0.03
3	0.02

1) What is the probability that a carton has more that 2 defective transistors?

P (x > 2) = (answer)

2) What is the probability that a carton will have between 1 and 3 defective transistors, inclusive?

P (1 ≤x≤ 3) = (answer)

3) Calculate the mean, variance, and standard deviation for the defective transistors.

μ= (answer)

σ= (answer)

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